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Finding the Fourth Proportional to 709,793.90, 1,064,302.05 and 288,593.90

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Solution

The fourth proportional to 709,793.90, 1,064,302.05 and 288,593.90 is: 432,732.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,793.90 : 1,064,302.05 = 288,593.90 : x
  2. Step 2: Convert to fraction form
    709,793.90/1,064,302.05 = 288,593.90/x
  3. Step 3: Cross multiply
    709,793.90x = 1,064,302.05 × 288,593.90
  4. Step 4: Simplify right side
    709,793.90x = 307,151,079,387.50
  5. Step 5: Solve for x
    x = 307,151,079,387.50/709,793.90
  6. Step 6: Final answer
    x = 432,732.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.